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2214783886225 = 52232129412
BaseRepresentation
bin100000001110101011011…
…010000010001110010001
321211201202002121202210011
4200032223122002032101
5242241334133324400
64413242505034521
7316004260262131
oct40165332021621
97751662552704
102214783886225
11784314845579
122b92a6785a41
13130b126c2a01
14792a61baac1
153c9292c78ba
hex203ab682391

2214783886225 has 27 divisors (see below), whose sum is σ = 2871151177489. Its totient is φ = 1694660184800.

The previous prime is 2214783886219. The next prime is 2214783886247. The reversal of 2214783886225 is 5226883874122.

The square root of 2214783886225 is 1488215.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36066187921 + 2178717698304 = 189911^2 + 1476048^2 .

It is not a de Polignac number, because 2214783886225 - 211 = 2214783884177 is a prime.

It is a super-3 number, since 3×22147838862253 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2214783886225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171138255 + ... + 171151195.

Almost surely, 22214783886225 is an apocalyptic number.

2214783886225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2214783886225 is the 1488215-th square number.

2214783886225 is the 744108-th centered octagonal number.

It is an amenable number.

2214783886225 is a deficient number, since it is larger than the sum of its proper divisors (656367291264).

2214783886225 is an frugal number, since it uses more digits than its factorization.

2214783886225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25938 (or 12969 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 58.

The spelling of 2214783886225 in words is "two trillion, two hundred fourteen billion, seven hundred eighty-three million, eight hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 12941 13225 64705 297643 323525 1488215 6845789 7441075 34228945 167469481 171144725 837347405 3851798063 4186737025 19258990315 88591355449 96294951575 442956777245 2214783886225